// Copyright 2017 The Chromium Authors. All rights reserved. // Use of this source code is governed by a BSD-style license that can be // found in the LICENSE file. #include "components/zucchini/algorithm.h" #include #include #include "testing/gtest/include/gtest/gtest.h" namespace zucchini { namespace { // Casting functions to specify signed 8-bit and 16-bit integer constants. // For example, signed8(0xFF) == int8_t(-1). inline int8_t signed8(uint8_t v) { return *reinterpret_cast(&v); } inline int32_t signed16(uint16_t v) { return *reinterpret_cast(&v); } } // namespace TEST(AlgorithmTest, RangeIsBounded) { // Basic tests. EXPECT_TRUE(RangeIsBounded(0U, +0U, 10U)); EXPECT_TRUE(RangeIsBounded(0U, +10U, 10U)); EXPECT_TRUE(RangeIsBounded(1U, +9U, 10U)); EXPECT_FALSE(RangeIsBounded(1U, +10U, 10U)); EXPECT_TRUE(RangeIsBounded(8U, +1U, 10U)); EXPECT_TRUE(RangeIsBounded(8U, +2U, 10U)); EXPECT_TRUE(RangeIsBounded(9U, +0U, 10U)); EXPECT_FALSE(RangeIsBounded(10U, +0U, 10U)); // ! EXPECT_FALSE(RangeIsBounded(100U, +0U, 10U)); EXPECT_FALSE(RangeIsBounded(100U, +1U, 10U)); // Test at boundary of overflow. EXPECT_TRUE(RangeIsBounded(42U, +137U, 255U)); EXPECT_TRUE(RangeIsBounded(0U, +255U, 255U)); EXPECT_TRUE(RangeIsBounded(1U, +254U, 255U)); EXPECT_FALSE(RangeIsBounded(1U, +255U, 255U)); EXPECT_TRUE(RangeIsBounded(254U, +0U, 255U)); EXPECT_TRUE(RangeIsBounded(254U, +1U, 255U)); EXPECT_FALSE(RangeIsBounded(255U, +0U, 255U)); EXPECT_FALSE(RangeIsBounded(255U, +3U, 255U)); // Test with uint32_t. EXPECT_TRUE(RangeIsBounded(0U, +0x1000U, 0x2000U)); EXPECT_TRUE(RangeIsBounded(0x0FFFU, +0x1000U, 0x2000U)); EXPECT_TRUE(RangeIsBounded(0x1000U, +0x1000U, 0x2000U)); EXPECT_FALSE(RangeIsBounded(0x1000U, +0x1001U, 0x2000U)); EXPECT_TRUE(RangeIsBounded(0x1FFFU, +1U, 0x2000U)); EXPECT_FALSE(RangeIsBounded(0x2000U, +0U, 0x2000U)); // ! EXPECT_FALSE(RangeIsBounded(0x3000U, +0U, 0x2000U)); EXPECT_FALSE(RangeIsBounded(0x3000U, +1U, 0x2000U)); EXPECT_TRUE(RangeIsBounded(0U, +0xFFFFFFFEU, 0xFFFFFFFFU)); EXPECT_TRUE(RangeIsBounded(0U, +0xFFFFFFFFU, 0xFFFFFFFFU)); EXPECT_TRUE(RangeIsBounded(1U, +0xFFFFFFFEU, 0xFFFFFFFFU)); EXPECT_FALSE(RangeIsBounded(1U, +0xFFFFFFFFU, 0xFFFFFFFFU)); EXPECT_TRUE(RangeIsBounded(0x80000000U, +0x7FFFFFFFU, 0xFFFFFFFFU)); EXPECT_FALSE( RangeIsBounded(0x80000000U, +0x80000000U, 0xFFFFFFFFU)); EXPECT_TRUE(RangeIsBounded(0xFFFFFFFEU, +1U, 0xFFFFFFFFU)); EXPECT_FALSE(RangeIsBounded(0xFFFFFFFFU, +0U, 0xFFFFFFFFU)); // ! EXPECT_FALSE( RangeIsBounded(0xFFFFFFFFU, +0xFFFFFFFFU, 0xFFFFFFFFU)); } TEST(AlgorithmTest, RangeCovers) { // Basic tests. EXPECT_TRUE(RangeCovers(0U, +10U, 0U)); EXPECT_TRUE(RangeCovers(0U, +10U, 5U)); EXPECT_TRUE(RangeCovers(0U, +10U, 9U)); EXPECT_FALSE(RangeCovers(0U, +10U, 10U)); EXPECT_FALSE(RangeCovers(0U, +10U, 100U)); EXPECT_FALSE(RangeCovers(0U, +10U, 255U)); EXPECT_FALSE(RangeCovers(42U, +137U, 0U)); EXPECT_FALSE(RangeCovers(42U, +137U, 41U)); EXPECT_TRUE(RangeCovers(42U, +137U, 42U)); EXPECT_TRUE(RangeCovers(42U, +137U, 100U)); EXPECT_TRUE(RangeCovers(42U, +137U, 178U)); EXPECT_FALSE(RangeCovers(42U, +137U, 179U)); EXPECT_FALSE(RangeCovers(42U, +137U, 255U)); // 0-size ranges. EXPECT_FALSE(RangeCovers(42U, +0U, 41U)); EXPECT_FALSE(RangeCovers(42U, +0U, 42U)); EXPECT_FALSE(RangeCovers(42U, +0U, 43U)); // Test at boundary of overflow. EXPECT_TRUE(RangeCovers(254U, +1U, 254U)); EXPECT_FALSE(RangeCovers(254U, +1U, 255U)); EXPECT_FALSE(RangeCovers(255U, +0U, 255U)); EXPECT_TRUE(RangeCovers(255U, +1U, 255U)); EXPECT_FALSE(RangeCovers(255U, +5U, 0U)); // Test with unit32_t. EXPECT_FALSE(RangeCovers(1234567U, +7654321U, 0U)); EXPECT_FALSE(RangeCovers(1234567U, +7654321U, 1234566U)); EXPECT_TRUE(RangeCovers(1234567U, +7654321U, 1234567U)); EXPECT_TRUE(RangeCovers(1234567U, +7654321U, 4444444U)); EXPECT_TRUE(RangeCovers(1234567U, +7654321U, 8888887U)); EXPECT_FALSE(RangeCovers(1234567U, +7654321U, 8888888U)); EXPECT_FALSE(RangeCovers(1234567U, +7654321U, 0x80000000U)); EXPECT_FALSE(RangeCovers(1234567U, +7654321U, 0xFFFFFFFFU)); EXPECT_FALSE(RangeCovers(0xFFFFFFFFU, +0, 0xFFFFFFFFU)); EXPECT_TRUE(RangeCovers(0xFFFFFFFFU, +1, 0xFFFFFFFFU)); EXPECT_FALSE(RangeCovers(0xFFFFFFFFU, +2, 0)); } TEST(AlgorithmTest, InclusiveClamp) { EXPECT_EQ(1U, InclusiveClamp(0U, 1U, 9U)); EXPECT_EQ(1U, InclusiveClamp(1U, 1U, 9U)); EXPECT_EQ(5U, InclusiveClamp(5U, 1U, 9U)); EXPECT_EQ(8U, InclusiveClamp(8U, 1U, 9U)); EXPECT_EQ(9U, InclusiveClamp(9U, 1U, 9U)); EXPECT_EQ(9U, InclusiveClamp(10U, 1U, 9U)); EXPECT_EQ(9U, InclusiveClamp(0xFFFFFFFFU, 1U, 9U)); EXPECT_EQ(42U, InclusiveClamp(0U, 42U, 42U)); EXPECT_EQ(42U, InclusiveClamp(41U, 42U, 42U)); EXPECT_EQ(42U, InclusiveClamp(42U, 42U, 42U)); EXPECT_EQ(42U, InclusiveClamp(43U, 42U, 42U)); EXPECT_EQ(0U, InclusiveClamp(0U, 0U, 0U)); EXPECT_EQ(0xFFFFFFFF, InclusiveClamp(0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF)); } TEST(AlgorithmTest, AlignCeil) { EXPECT_EQ(0U, AlignCeil(0U, 2U)); EXPECT_EQ(2U, AlignCeil(1U, 2U)); EXPECT_EQ(2U, AlignCeil(2U, 2U)); EXPECT_EQ(4U, AlignCeil(3U, 2U)); EXPECT_EQ(4U, AlignCeil(4U, 2U)); EXPECT_EQ(11U, AlignCeil(10U, 11U)); EXPECT_EQ(11U, AlignCeil(11U, 11U)); EXPECT_EQ(22U, AlignCeil(12U, 11U)); EXPECT_EQ(22U, AlignCeil(21U, 11U)); EXPECT_EQ(22U, AlignCeil(22U, 11U)); EXPECT_EQ(33U, AlignCeil(23U, 11U)); } TEST(AlgorithmTest, IncrementForAlignCeil) { struct TestCase { int exp; // Increment to |pos| to get the next nearest aligned value. int pos; }; TestCase kTestCases2[] = { {0, 0}, {1, 1}, {0, 2}, {1, 3}, {0, 4}, {1, 5}, {1, 97}, {0, 98}, {1, 99}, {0, 100}, {1, -1}, {0, -2}, {1, -101}, {0, -100}, {1, -99}, {0, -98}, {1, -97}, {0, -96}, }; for (const auto& test_case : kTestCases2) { EXPECT_EQ(test_case.exp, IncrementForAlignCeil2(test_case.pos)); if (test_case.pos >= 0) EXPECT_EQ(test_case.exp, IncrementForAlignCeil2(test_case.pos)); } TestCase kTestCases4[] = { {0, 0}, {3, 1}, {2, 2}, {1, 3}, {0, 4}, {3, 5}, {3, 97}, {2, 98}, {1, 99}, {0, 100}, {1, -1}, {2, -2}, {1, -101}, {0, -100}, {3, -99}, {2, -98}, {1, -97}, {0, -96}, }; for (const auto& test_case : kTestCases4) { EXPECT_EQ(test_case.exp, IncrementForAlignCeil4(test_case.pos)); if (test_case.pos >= 0) EXPECT_EQ(test_case.exp, IncrementForAlignCeil4(test_case.pos)); } } TEST(AlgorithmTest, GetBit) { // 0xC5 = 0b1100'0101. constexpr uint8_t v = 0xC5; EXPECT_EQ(uint8_t(1), (GetBit<0>(v))); EXPECT_EQ(int8_t(0), (GetBit<1>(signed8(v)))); EXPECT_EQ(uint8_t(1), (GetBit<2>(v))); EXPECT_EQ(int8_t(0), (GetBit<3>(signed8(v)))); EXPECT_EQ(uint8_t(0), (GetBit<4>(v))); EXPECT_EQ(int8_t(0), (GetBit<5>(signed8(v)))); EXPECT_EQ(uint8_t(1), (GetBit<6>(v))); EXPECT_EQ(int8_t(1), (GetBit<7>(signed8(v)))); EXPECT_EQ(int16_t(1), (GetBit<3, int16_t>(0x0008))); EXPECT_EQ(uint16_t(0), (GetBit<14, uint16_t>(0xB000))); EXPECT_EQ(uint16_t(1), (GetBit<15, uint16_t>(0xB000))); EXPECT_EQ(uint32_t(1), (GetBit<0, uint32_t>(0xFFFFFFFF))); EXPECT_EQ(int32_t(1), (GetBit<31, int32_t>(0xFFFFFFFF))); EXPECT_EQ(uint32_t(0), (GetBit<0, uint32_t>(0xFF00A596))); EXPECT_EQ(int32_t(1), (GetBit<1, int32_t>(0xFF00A596))); EXPECT_EQ(uint32_t(1), (GetBit<4, uint32_t>(0xFF00A596))); EXPECT_EQ(int32_t(1), (GetBit<7, int32_t>(0xFF00A596))); EXPECT_EQ(uint32_t(0), (GetBit<9, uint32_t>(0xFF00A596))); EXPECT_EQ(int32_t(0), (GetBit<16, int32_t>(0xFF00A59))); EXPECT_EQ(uint32_t(1), (GetBit<24, uint32_t>(0xFF00A596))); EXPECT_EQ(int32_t(1), (GetBit<31, int32_t>(0xFF00A596))); EXPECT_EQ(uint64_t(0), (GetBit<62, uint64_t>(0xB000000000000000ULL))); EXPECT_EQ(int64_t(1), (GetBit<63, int64_t>(0xB000000000000000LL))); } TEST(AlgorithmTest, GetBits) { // Zero-extended: Basic cases for various values. uint32_t test_cases[] = {0, 1, 2, 7, 137, 0x10000, 0x69969669, 0xFFFFFFFF}; for (uint32_t v : test_cases) { EXPECT_EQ(uint32_t(v & 0xFF), (GetUnsignedBits<0, 7>(v))); EXPECT_EQ(uint32_t((v >> 8) & 0xFF), (GetUnsignedBits<8, 15>(v))); EXPECT_EQ(uint32_t((v >> 16) & 0xFF), (GetUnsignedBits<16, 23>(v))); EXPECT_EQ(uint32_t((v >> 24) & 0xFF), (GetUnsignedBits<24, 31>(v))); EXPECT_EQ(uint32_t(v & 0xFFFF), (GetUnsignedBits<0, 15>(v))); EXPECT_EQ(uint32_t((v >> 1) & 0x3FFFFFFF), (GetUnsignedBits<1, 30>(v))); EXPECT_EQ(uint32_t((v >> 2) & 0x0FFFFFFF), (GetUnsignedBits<2, 29>(v))); EXPECT_EQ(uint32_t(v), (GetUnsignedBits<0, 31>(v))); } // Zero-extended: Reading off various nibbles. EXPECT_EQ(uint32_t(0x4), (GetUnsignedBits<20, 23>(0x00432100U))); EXPECT_EQ(uint32_t(0x43), (GetUnsignedBits<16, 23>(0x00432100))); EXPECT_EQ(uint32_t(0x432), (GetUnsignedBits<12, 23>(0x00432100U))); EXPECT_EQ(uint32_t(0x4321), (GetUnsignedBits<8, 23>(0x00432100))); EXPECT_EQ(uint32_t(0x321), (GetUnsignedBits<8, 19>(0x00432100U))); EXPECT_EQ(uint32_t(0x21), (GetUnsignedBits<8, 15>(0x00432100))); EXPECT_EQ(uint32_t(0x1), (GetUnsignedBits<8, 11>(0x00432100U))); // Sign-extended: 0x3CA5 = 0b0011'1100'1010'0101. EXPECT_EQ(signed16(0xFFFF), (GetSignedBits<0, 0>(0x3CA5U))); EXPECT_EQ(signed16(0x0001), (GetSignedBits<0, 1>(0x3CA5))); EXPECT_EQ(signed16(0xFFFD), (GetSignedBits<0, 2>(0x3CA5U))); EXPECT_EQ(signed16(0x0005), (GetSignedBits<0, 4>(0x3CA5))); EXPECT_EQ(signed16(0xFFA5), (GetSignedBits<0, 7>(0x3CA5U))); EXPECT_EQ(signed16(0xFCA5), (GetSignedBits<0, 11>(0x3CA5))); EXPECT_EQ(signed16(0x0005), (GetSignedBits<0, 3>(0x3CA5U))); EXPECT_EQ(signed16(0xFFFA), (GetSignedBits<4, 7>(0x3CA5))); EXPECT_EQ(signed16(0xFFFC), (GetSignedBits<8, 11>(0x3CA5U))); EXPECT_EQ(signed16(0x0003), (GetSignedBits<12, 15>(0x3CA5))); EXPECT_EQ(signed16(0x0000), (GetSignedBits<4, 4>(0x3CA5U))); EXPECT_EQ(signed16(0xFFFF), (GetSignedBits<5, 5>(0x3CA5))); EXPECT_EQ(signed16(0x0002), (GetSignedBits<4, 6>(0x3CA5U))); EXPECT_EQ(signed16(0x1E52), (GetSignedBits<1, 14>(0x3CA5))); EXPECT_EQ(signed16(0xFF29), (GetSignedBits<2, 13>(0x3CA5U))); EXPECT_EQ(int32_t(0x00001E52), (GetSignedBits<1, 14>(0x3CA5))); EXPECT_EQ(int32_t(0xFFFFFF29), (GetSignedBits<2, 13>(0x3CA5U))); // 64-bits: Extract from middle 0x66 = 0b0110'0110. EXPECT_EQ(uint64_t(0x0000000000000009LL), (GetUnsignedBits<30, 33>(int64_t(0x2222222661111111LL)))); EXPECT_EQ(int64_t(0xFFFFFFFFFFFFFFF9LL), (GetSignedBits<30, 33>(uint64_t(0x2222222661111111LL)))); } TEST(AlgorithmTest, SignExtend) { // 0x6A = 0b0110'1010. EXPECT_EQ(uint8_t(0x00), (SignExtend(0, 0x6A))); EXPECT_EQ(signed8(0xFE), (SignExtend(1, signed8(0x6A)))); EXPECT_EQ(uint8_t(0x02), (SignExtend(2, 0x6A))); EXPECT_EQ(signed8(0xFA), (SignExtend(3, signed8(0x6A)))); EXPECT_EQ(uint8_t(0x0A), (SignExtend(4, 0x6A))); EXPECT_EQ(signed8(0xEA), (SignExtend(5, signed8(0x6A)))); EXPECT_EQ(uint8_t(0xEA), (SignExtend(6, 0x6A))); EXPECT_EQ(signed8(0x6A), (SignExtend(7, signed8(0x6A)))); EXPECT_EQ(signed16(0xFFFA), (SignExtend(3, 0x6A))); EXPECT_EQ(uint16_t(0x000A), (SignExtend(4, 0x6A))); EXPECT_EQ(int32_t(0xFFFF8000), (SignExtend(15, 0x00008000))); EXPECT_EQ(uint32_t(0x00008000U), (SignExtend(16, 0x00008000))); EXPECT_EQ(int32_t(0xFFFFFC00), (SignExtend(10, 0x00000400))); EXPECT_EQ(uint32_t(0xFFFFFFFFU), (SignExtend(31, 0xFFFFFFFF))); EXPECT_EQ(int64_t(0xFFFFFFFFFFFFFE6ALL), (SignExtend(9, 0x000000000000026ALL))); EXPECT_EQ(int64_t(0x000000000000016ALL), (SignExtend(9, 0xFFFFFFFFFFFFFD6ALL))); EXPECT_EQ(uint64_t(0xFFFFFFFFFFFFFE6AULL), (SignExtend(9, 0x000000000000026AULL))); EXPECT_EQ(uint64_t(0x000000000000016AULL), (SignExtend(9, 0xFFFFFFFFFFFFFD6AULL))); } TEST(AlgorithmTest, SignExtendTemplated) { // 0x6A = 0b0110'1010. EXPECT_EQ(uint8_t(0x00), (SignExtend<0, uint8_t>(0x6A))); EXPECT_EQ(signed8(0xFE), (SignExtend<1, int8_t>(signed8(0x6A)))); EXPECT_EQ(uint8_t(0x02), (SignExtend<2, uint8_t>(0x6A))); EXPECT_EQ(signed8(0xFA), (SignExtend<3, int8_t>(signed8(0x6A)))); EXPECT_EQ(uint8_t(0x0A), (SignExtend<4, uint8_t>(0x6A))); EXPECT_EQ(signed8(0xEA), (SignExtend<5, int8_t>(signed8(0x6A)))); EXPECT_EQ(uint8_t(0xEA), (SignExtend<6, uint8_t>(0x6A))); EXPECT_EQ(signed8(0x6A), (SignExtend<7, int8_t>(signed8(0x6A)))); EXPECT_EQ(signed16(0xFFFA), (SignExtend<3, int16_t>(0x6A))); EXPECT_EQ(uint16_t(0x000A), (SignExtend<4, uint16_t>(0x6A))); EXPECT_EQ(int32_t(0xFFFF8000), (SignExtend<15, int32_t>(0x00008000))); EXPECT_EQ(uint32_t(0x00008000U), (SignExtend<16, uint32_t>(0x00008000))); EXPECT_EQ(int32_t(0xFFFFFC00), (SignExtend<10, int32_t>(0x00000400))); EXPECT_EQ(uint32_t(0xFFFFFFFFU), (SignExtend<31, uint32_t>(0xFFFFFFFF))); EXPECT_EQ(int64_t(0xFFFFFFFFFFFFFE6ALL), (SignExtend<9, int64_t>(0x000000000000026ALL))); EXPECT_EQ(int64_t(0x000000000000016ALL), (SignExtend<9, int64_t>(0xFFFFFFFFFFFFFD6ALL))); EXPECT_EQ(uint64_t(0xFFFFFFFFFFFFFE6AULL), (SignExtend<9, uint64_t>(0x000000000000026AULL))); EXPECT_EQ(uint64_t(0x000000000000016AULL), (SignExtend<9, uint64_t>(0xFFFFFFFFFFFFFD6AULL))); } TEST(AlgorithmTest, SignedFit) { for (int v = -0x80; v < 0x80; ++v) { EXPECT_EQ(v >= -1 && v < 1, (SignedFit<1, int8_t>(v))); EXPECT_EQ(v >= -1 && v < 1, (SignedFit<1, uint8_t>(v))); EXPECT_EQ(v >= -2 && v < 2, (SignedFit<2, int8_t>(v))); EXPECT_EQ(v >= -4 && v < 4, (SignedFit<3, uint8_t>(v))); EXPECT_EQ(v >= -8 && v < 8, (SignedFit<4, int16_t>(v))); EXPECT_EQ(v >= -16 && v < 16, (SignedFit<5, uint32_t>(v))); EXPECT_EQ(v >= -32 && v < 32, (SignedFit<6, int32_t>(v))); EXPECT_EQ(v >= -64 && v < 64, (SignedFit<7, uint64_t>(v))); EXPECT_TRUE((SignedFit<8, int8_t>(v))); EXPECT_TRUE((SignedFit<8, uint8_t>(v))); } EXPECT_TRUE((SignedFit<16, uint32_t>(0x00000000))); EXPECT_TRUE((SignedFit<16, uint32_t>(0x00007FFF))); EXPECT_TRUE((SignedFit<16, uint32_t>(0xFFFF8000))); EXPECT_TRUE((SignedFit<16, uint32_t>(0xFFFFFFFF))); EXPECT_TRUE((SignedFit<16, int32_t>(0x00007FFF))); EXPECT_TRUE((SignedFit<16, int32_t>(0xFFFF8000))); EXPECT_FALSE((SignedFit<16, uint32_t>(0x80000000))); EXPECT_FALSE((SignedFit<16, uint32_t>(0x7FFFFFFF))); EXPECT_FALSE((SignedFit<16, uint32_t>(0x00008000))); EXPECT_FALSE((SignedFit<16, uint32_t>(0xFFFF7FFF))); EXPECT_FALSE((SignedFit<16, int32_t>(0x00008000))); EXPECT_FALSE((SignedFit<16, int32_t>(0xFFFF7FFF))); EXPECT_TRUE((SignedFit<48, int64_t>(0x00007FFFFFFFFFFFLL))); EXPECT_TRUE((SignedFit<48, int64_t>(0xFFFF800000000000LL))); EXPECT_FALSE((SignedFit<48, int64_t>(0x0008000000000000LL))); EXPECT_FALSE((SignedFit<48, int64_t>(0xFFFF7FFFFFFFFFFFLL))); } } // namespace zucchini